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Finding the Fourth Proportional to 700.26, 965.96 and 438.42

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Solution

The fourth proportional to 700.26, 965.96 and 438.42 is: 604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.26 : 965.96 = 438.42 : x
  2. Step 2: Convert to fraction form
    700.26/965.96 = 438.42/x
  3. Step 3: Cross multiply
    700.26x = 965.96 × 438.42
  4. Step 4: Simplify right side
    700.26x = 423,499.26
  5. Step 5: Solve for x
    x = 423,499.26/700.26
  6. Step 6: Final answer
    x = 604.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.